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math.AP2025
A geometric characterization of potential Navier-Stokes singularities
Zhen Lei, Xiao Ren, Gang Tian
For a local suitable weak solution to the Navier-Stokes equations, we prove that if the vorticity vectors belong to a double cone in regions of high vorticity magnitude, then the s…
math.AP2024
Global solutions to the Euler-Coriolis system
Xiao Ren, Gang Tian
We prove the global well-posedness and scattering for the 3D incompressible Euler-Coriolis system with sufficiently small, regular and suitably localized initial data. Equivalently…